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Annular Axisymmetric Stagnation Flow of a Casson Fluid Through Porous Media in a Moving Cylinder

The present investigation deals with the study of annular axisymmetric stagnation flow and heat transfer of a Casson fluid through porous medium in a moving cylinder. The inner cylinder is rotating with a fixed angular velocity and is also translating along axial axis with constant axial velocity while the outer cylinder is assumed fixed. Fluid is injected from the top surface of the fixed outer cylinder towards the translating and rotating inner cylinder. The motion of the Casson fluid is assumed under the influence of some porous media. The governing nonlinear partial differential equations of conservation of mass, conservation of li near momentum and heat transfer are obtained and then simplified with the help of a set of suitable similarity transformations which reduces the original set of partial differential equations into a new simplified set of ordinary differential equations. The resulting system of ordinary differential equations is then solved numerically with the aid of fifth order Runge-Kutta Fehlberg method. A comparison of special cases of the present numerical solution with the already available work is also included through tables. The behavior of important involved physical non-dimensional parameters like Prandtl numbers, porosity parameter and Reynolds numbers is also presented at the end.

Axisymmetric Stagnation Flow, Casson Fluid, Moving Cylinder, Porous Medium

APA Style

Farooq, M. U., Rehman, A., Sheikh, N. (2023). Annular Axisymmetric Stagnation Flow of a Casson Fluid Through Porous Media in a Moving Cylinder. American Journal of Modern Physics, 12(3), 47-53. https://doi.org/10.11648/j.ajmp.20231203.12

ACS Style

Farooq, M. U.; Rehman, A.; Sheikh, N. Annular Axisymmetric Stagnation Flow of a Casson Fluid Through Porous Media in a Moving Cylinder. Am. J. Mod. Phys. 2023, 12(3), 47-53. doi: 10.11648/j.ajmp.20231203.12

AMA Style

Farooq MU, Rehman A, Sheikh N. Annular Axisymmetric Stagnation Flow of a Casson Fluid Through Porous Media in a Moving Cylinder. Am J Mod Phys. 2023;12(3):47-53. doi: 10.11648/j.ajmp.20231203.12

Copyright © 2023 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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